Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4739/182, 7513/5997 quickly i.e. 35604107 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4739/182, 7513/5997 is 35604107.
LCM(4739/182, 7513/5997) = 35604107
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4739/182,7513/5997
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 4739,7513
Least Common Multiple of Numerators i.e. LCM of 4739,7513 is 35604107.
GCF of Denominators means GCF of 182,5997 as per the given fractions.
GCF of 182,5997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4739,7513
Given numbers has no common factors except 1. So, there LCM is their product i.e 35604107
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 4739,7513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4739,7513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4739,7513) x common factors =1 x 1 = 1
LCM(4739,7513) = ( 4739 × 7513 ) / 1
LCM(4739,7513) = 35604107 / 1
LCM(4739,7513) = 35604107
Lets's calculate GCF of 182,5997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35604107/1
Therefore the LCM of Fractions 4739/182,7513/5997 is 35604107
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 5997
List of positive integer factors of 5997 that divides 5997 without a remainder.
1,3,1999,5997
Greatest Common Factor
We found the factors 182,5997 . The biggest common factor number is the GCF number.
So the greatest common factor 182,5997 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 4739/182, 7513/5997?
Answer: LCM of Numerators as per given numbers 4739/182, 7513/5997 is
LCM of Numerators i.e. for 4739,7513 is 35604107
GCF of denominators i.e. for 182,5997 is 1.
Thus, LCM of Fractions is 35604107.Finally, LCM of Fractions for 4739/182, 7513/5997 is 35604107.